Falling d-Ideals in d-Algebras

被引：3

作者：

Jun, Young Bae ^{[2
,3
]}

Ahn, Sun Shin ^{[1
]}

Lee, Kyoung Ja ^{[4
]}

机构：

[1] Dongguk Univ, Dept Math Educ, Seoul 100715, South Korea

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[4] Hannam Univ, Dept Math Educ, Taejon 306791, South Korea

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷

关键词：

SHADOWS;

D O I：

10.1155/2011/516418

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the theory of a falling shadow which was first formulated by Wang (1985), a theoretical approach of the ideal structure in d-algebras is established. The notions of a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d(#)-ideal of a d-algebra are introduced. Some fundamental properties are investigated. Relations among a falling d-subalgebra, a falling d-ideal, a falling BCK-ideal, and a falling d(#)-ideal are stated. Characterizations of falling d-ideals and falling d(#)-ideals are discussed. A relation between a fuzzy d-subalgebra and a falling d-subalgebra is provided.

引用

页数：14

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